Passive vibration damping of a plate made of functionally graded material

Abstract

The use of functionally graded materials in smart systems based on piezoelectric elements provides a number of additional advantages over homogeneous metals and alloys. Smooth variation of the mechanical properties of a structure along one or more directions makes it possible to optimize its dynamic parameters at the design stage, within the given constraints on the dimensions and mass of the structure. In this paper, the finite element method was used to study the free and forced steady-state harmonic vibration of a rectangular functionally graded plate with a piezoelectric element connected to an external electrical RL circuit. The
examples analyze the influence of the volume fraction index of the functionally graded material on the electromechanical coupling coefficient, natural frequencies and vibration amplitude. The possibility of varying them within limits sufficient for safe operation of the structure in the vicinity of the initial resonance is demonstrated.